Apple id

How can I remove Apple ID from the Apple app

Do you mean remove -> = delete?

Read carefully -> How to delete your Apple ID account

How to delete your Apple ID account – Apple Support (UK)

Do you use multiple Apple ID?

You are sign in here .  .  .  with your Apple ID (?).

Your Apple ID is the personal account you use with all Apple products and services. It includes the email address and password you use to sign in, as well as the contact, payment, and security details that you use with Apple.

You can’t merge multiple Apple ID accounts.

Have you tried signing out in Settings?